Maximize profit = $4X + $5Y
Subject to constraints:
5X + 2Y <= 40
3X + 6Y <=30
X <= 7
2X - Y >=3
X, Y >= 0
USE THE GRAPHICAL SOLUTION TO ANSWER THE FOLLOWING QUESTIONS. EACH QUESTION IS INDEPENDENT OF THE OTHERS. DETERMINE IF (AND HOW) THE FOLLOWING CHANGES WOULD AFFECT THE OPTIMAL SOLUTION VALUES AND/OR PROFIT.
a.) A TECHNICAL BREAKTHROUGH RAISES THE PROFIT PER UNIT OF Y TO $10.
b.) THE PROFIT PER UNIT OF X DECREASES TO ONLY $2.
c.) THE FIRST CONSTRAINT CHANGES TO 5X + 2Y <= 54